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If A,B,C are positive acute angles and sin(B+C–A)=cos(C+A–B)=tan(A+B–C)=1 then A,B,C are

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a

67120;450;22120

b

22120;67120;450

c

450;22120;67120

d

600;450;300

answer is B.

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Detailed Solution

B+C−A=900C+A−B=00A+B−C=450B+C=900+AC+A=BA+B=C+450 ⇒ A=22102,B=67120,C=450

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